Algebraic Proofs

Front

What is the Subtraction Property of Equality?

Back

If a = b, then a - c = b - c for any number c.

Front

What is the Addition Property of Equality?

Back

If a = b, then a + c = b + c for any number c.

Front

What is the Reflexive Property of Equality?

Back

For any number a, a = a.

Front

What is the Transitive Property of Equality?

Back

If a = b and b = c, then a = c.

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a.

Front

What is the Division Property of Equality?

Back

If a = b and c ≠ 0, then a/c = b/c.

Front

What is the purpose of algebraic proofs?

Back

To demonstrate the validity of an equation or statement using logical reasoning and properties of equality.

Front

What does 'Given' mean in algebraic proofs?

Back

It refers to the information or statements that are accepted as true for the purpose of the proof.

Front

What is an example of using the Reflexive Property?

Back

If x = 5, then 5 = 5.

Front

How do you apply the Addition Property in a proof?

Back

If you have an equation like x = 3, you can add 2 to both sides to get x + 2 = 5.